Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If 2992 sq.m. of land can be tilled by 16 workers in 10 days , how many workers are neede to till 5646 sq.m. of land in 14 days. workers Answer:_______________ |
| 2) If 2529 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 4391 sq.m. of land in 14 days. workers Answer:_______________ |
| 3) If 2899 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 4108 sq.m. of land in 12 days. workers Answer:_______________ |
| 4) If 2087 sq.m. of land can be tilled by 19 workers in 9 days , how many workers are neede to till 5540 sq.m. of land in 13 days. workers Answer:_______________ |
| 5) If 2416 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 4341 sq.m. of land in 15 days. workers Answer:_______________ |
| 6) If 2764 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 5980 sq.m. of land in 12 days. workers Answer:_______________ |
| 7) If 2793 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 5407 sq.m. of land in 12 days. workers Answer:_______________ |
| 8) If 2831 sq.m. of land can be tilled by 18 workers in 6 days , how many workers are neede to till 5321 sq.m. of land in 15 days. workers Answer:_______________ |
| 9) If 2028 sq.m. of land can be tilled by 18 workers in 9 days , how many workers are neede to till 5471 sq.m. of land in 14 days. workers Answer:_______________ |
| 10) If 2279 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 5738 sq.m. of land in 14 days. workers Answer:_______________ |
| 1) If 2992 sq.m. of land can be tilled by 16 workers in 10 days , how many workers are neede to till 5646 sq.m. of land in 14 days. Answer: 22 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2992 to 5646.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 1.88703208556 x 0.714285714286 x 16 = 22 workers |
| 2) If 2529 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 4391 sq.m. of land in 14 days. Answer: 17 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2529 to 4391.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.73625939106 x 0.5 x 20 = 17 workers |
| 3) If 2899 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 4108 sq.m. of land in 12 days. Answer: 15 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2899 to 4108.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.41704035874 x 0.583333333333 x 18 = 15 workers |
| 4) If 2087 sq.m. of land can be tilled by 19 workers in 9 days , how many workers are neede to till 5540 sq.m. of land in 13 days. Answer: 35 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2087 to 5540.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 2.65452803067 x 0.692307692308 x 19 = 35 workers |
| 5) If 2416 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 4341 sq.m. of land in 15 days. Answer: 15 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2416 to 4341.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.79677152318 x 0.466666666667 x 18 = 15 workers |
| 6) If 2764 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 5980 sq.m. of land in 12 days. Answer: 22 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2764 to 5980.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.16353111433 x 0.5 x 20 = 22 workers |
| 7) If 2793 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 5407 sq.m. of land in 12 days. Answer: 20 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2793 to 5407.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.93591120659 x 0.583333333333 x 18 = 20 workers |
| 8) If 2831 sq.m. of land can be tilled by 18 workers in 6 days , how many workers are neede to till 5321 sq.m. of land in 15 days. Answer: 14 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2831 to 5321.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.87954786295 x 0.4 x 18 = 14 workers |
| 9) If 2028 sq.m. of land can be tilled by 18 workers in 9 days , how many workers are neede to till 5471 sq.m. of land in 14 days. Answer: 31 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2028 to 5471.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.69773175542 x 0.642857142857 x 18 = 31 workers |
| 10) If 2279 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 5738 sq.m. of land in 14 days. Answer: 23 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2279 to 5738.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 2.51777095217 x 0.571428571429 x 16 = 23 workers |